Asymptotic decay of bipolar isentropic/non-isentropic compressible Navier-Stokes-Maxwell systems
被引:6
作者:
Feng, Yue-Hong
论文数: 0引用数: 0
h-index: 0
机构:
Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100022, Peoples R China
McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, CanadaBeijing Univ Technol, Coll Math, Fac Sci, Beijing 100022, Peoples R China
Feng, Yue-Hong
[1
,4
]
Li, Xin
论文数: 0引用数: 0
h-index: 0
机构:
Beijing Informat Sci & Technol Univ, Coll Sci, Beijing 100192, Peoples R ChinaBeijing Univ Technol, Coll Math, Fac Sci, Beijing 100022, Peoples R China
Li, Xin
[2
]
Mei, Ming
论文数: 0引用数: 0
h-index: 0
机构:
Champlain Coll St Lambert, Dept Math, St Lambert, PQ J4P 3P2, Canada
McGill Univ, Dept Math & Stat, Montreal, PQ H3A 2K6, CanadaBeijing Univ Technol, Coll Math, Fac Sci, Beijing 100022, Peoples R China
Mei, Ming
[3
,4
]
Wang, Shu
论文数: 0引用数: 0
h-index: 0
机构:
Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100022, Peoples R ChinaBeijing Univ Technol, Coll Math, Fac Sci, Beijing 100022, Peoples R China
Wang, Shu
[1
]
机构:
[1] Beijing Univ Technol, Coll Math, Fac Sci, Beijing 100022, Peoples R China
[2] Beijing Informat Sci & Technol Univ, Coll Sci, Beijing 100192, Peoples R China
[3] Champlain Coll St Lambert, Dept Math, St Lambert, PQ J4P 3P2, Canada
The bipolar isentropic;
non-isentropic CNS-M system;
Time-decay rates;
Plasmas;
REGULARITY-LOSS TYPE;
GLOBAL EXISTENCE;
SMOOTH SOLUTIONS;
CAUCHY-PROBLEM;
EQUATIONS;
BEHAVIOR;
D O I:
10.1016/j.jde.2021.08.029
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
The initial value problems of bipolar isentropic/non-isentropic compressible Navier-Stokes-Maxwell (CNS-M) systems arising from plasmas in R-3 are studied. The main difficulty of studying the bipolar isentropic/non-isentropic CNS-M systems lies in the appearance of the electromagnetic fields satisfying the hyperbolic Maxwell equations. The large time-decay rates of global smooth solutions with small amplitude in L-q(R-3) for 2 <= q <= infinity are established. For the bipolar non-isentropic CNS-M system, the difference of velocities of two charged carriers decay at the rate (1 + t)- rate (1 + t)(-3/4+1/4q) which is faster than the rate (1+t)(-3/4+1/4q)(ln -3/+t))(1-2/q) of the bipolar isentropic CNS-M system, meanwhile, the magnetic field decay at the rate (1 + t)(-3/4+1/4q)(ln -3/+t))(1-2/q) which is slower than the rate (1 +t)- 34 + 4q 3 for the bipolar isentropic CNS-M system. The approach adopted is the classical energy method but with some new developments, where the techniques of choosing symmetrizers and the spectrum analysis on the linearized homogeneous system play the crucial roles. (C) 2021 Elsevier Inc. All rights reserved.
机构:
Shenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R ChinaShenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R China
Gong, Huajun
Li, Jinkai
论文数: 0引用数: 0
h-index: 0
机构:
South China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Zhong Shan Ave West 55, Guangzhou, Peoples R ChinaShenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R China
Li, Jinkai
Liu, Xian-Gao
论文数: 0引用数: 0
h-index: 0
机构:
Fudan Univ, Sch Math Sci, Shanghai, Peoples R ChinaShenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R China
Liu, Xian-Gao
Zhang, Xiaotao
论文数: 0引用数: 0
h-index: 0
机构:
South China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Zhong Shan Ave West 55, Guangzhou, Peoples R ChinaShenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R China
机构:
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
Ruan, Lizhi
Yin, Haiyan
论文数: 0引用数: 0
h-index: 0
机构:
Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
Yin, Haiyan
Zhu, Changjiang
论文数: 0引用数: 0
h-index: 0
机构:
South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
机构:
Univ Paris Saclay, CentraleSupelec, Lab Math & Informat Complexite & Syst, Campus Gif Sur Yvette,3 Rue Joliot Curie, F-91190 Gif Sur Yvette, FranceUniv Paris Saclay, CentraleSupelec, Lab Math & Informat Complexite & Syst, Campus Gif Sur Yvette,3 Rue Joliot Curie, F-91190 Gif Sur Yvette, France
机构:
Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Peoples R China
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R ChinaHunan Inst Sci & Technol, Dept Math, Yueyang 414006, Peoples R China
Zhang, Yinghui
Wu, Guochun
论文数: 0引用数: 0
h-index: 0
机构:
Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R ChinaHunan Inst Sci & Technol, Dept Math, Yueyang 414006, Peoples R China
机构:
Shenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R ChinaShenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R China
Gong, Huajun
Li, Jinkai
论文数: 0引用数: 0
h-index: 0
机构:
South China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Zhong Shan Ave West 55, Guangzhou, Peoples R ChinaShenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R China
Li, Jinkai
Liu, Xian-Gao
论文数: 0引用数: 0
h-index: 0
机构:
Fudan Univ, Sch Math Sci, Shanghai, Peoples R ChinaShenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R China
Liu, Xian-Gao
Zhang, Xiaotao
论文数: 0引用数: 0
h-index: 0
机构:
South China Normal Univ, South China Res Ctr Appl Math & Interdisciplinary, Zhong Shan Ave West 55, Guangzhou, Peoples R ChinaShenzhen Univ, Coll Math & Stat, Shenzhen, Peoples R China
机构:
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
Ruan, Lizhi
Yin, Haiyan
论文数: 0引用数: 0
h-index: 0
机构:
Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
Yin, Haiyan
Zhu, Changjiang
论文数: 0引用数: 0
h-index: 0
机构:
South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R ChinaCent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China
机构:
Univ Paris Saclay, CentraleSupelec, Lab Math & Informat Complexite & Syst, Campus Gif Sur Yvette,3 Rue Joliot Curie, F-91190 Gif Sur Yvette, FranceUniv Paris Saclay, CentraleSupelec, Lab Math & Informat Complexite & Syst, Campus Gif Sur Yvette,3 Rue Joliot Curie, F-91190 Gif Sur Yvette, France
机构:
Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Peoples R China
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R ChinaHunan Inst Sci & Technol, Dept Math, Yueyang 414006, Peoples R China
Zhang, Yinghui
Wu, Guochun
论文数: 0引用数: 0
h-index: 0
机构:
Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R ChinaHunan Inst Sci & Technol, Dept Math, Yueyang 414006, Peoples R China